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Which polynomial function could be represented by the graph below?

Which polynomial function could be represented by the graph below?-example-1

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First, substitute one of the x intercepts and whichever one gives an answer of 0 is a possible answer. If you substitute x=2 in all of them, you will have A and C as 0. Now substitute any point you want and see if it matches with the y value of the graph. Here we can use x=1 as that is the easiest. Substituting x=1 in A and C, we get -4 for A and 8 for C. The graph shows that at x=1, y =8 so the answer is C.
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